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Explain with examples how we will decide which type of OR (Exclusive OR, inclusive OR) is used in a given compound statement.

Important Questions on Mathematical Logic

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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement “All continuous functions are differentiable”
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table

Consider the following three statements:

P:5 is a prime number

Q:7 is a factor of 192

R: LCM of 5 and 7 is 35

Then the truth value of which one of the following statements is true?

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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
If p→p∧~q is false, then the truth values of p and q are respectively
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
If p→~p∨~q is false, then the truth values of p and q are, respectively
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the Boolean expression ~s∨~r∧s is equivalent to
MEDIUM
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The statement p→q→p→p→p∨q is :
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Negation of the statement: 5 is an integer or 5 is irrational is:
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement "For all real numbers x and y,x+y=y+x" is
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The Boolean expression ∼p⇒∼q is equivalent to
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of “∀n∈N,n+7>6” is ….
MEDIUM
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The proposition p→~p∧~q is equivalent to :
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The Boolean expression ~p∨q∨~p∧q is equivalent to
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The Boolean expression ~(p∨q)∨(~p∧q) is equivalent to
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Let p, q, r be three statements such that the truth value of p∧q→~q∨r is F . Then the truth values of p, q, r are respectively :
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
If p:4 is an even prime number, q:6 is a divisor of 12 and r: the HCF of 4 and 6 is 2, then which of the following is correct?
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The statement A→B→A is equivalent to :
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement ''72 is divisible by 2 and 3'' is
MEDIUM
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
For two statements p and q, the logical statement p→q∧q→~p is equivalent to
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
For any two statement p and q, the negative of the expression p∨~p∧q is
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Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The proposition ~p∨p∧~q is equivalent to